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Periodic solutions for a class of fourth-order nonlinear differential equations

โœ Scribed by Changhong Zhao; Wei Chen; Jinglei Zhou


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
382 KB
Volume
72
Category
Article
ISSN
0362-546X

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โœฆ Synopsis


In this paper, by using inequality techniques and coincidence degree theory, some sufficient conditions are established for ensuring the existence of T -periodic solutions for a class of fourth-order nonlinear differential equations. Two illustrative examples are provided to demonstrate that the results of this paper hold under weaker conditions than the existing ones, and are more effective.


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This paper considers the fourth-order nonlinear differential equations with a deviating argument. Sufficient conditions for the existence and exponential stability of the almost periodic solutions are established, which are new and complement previously known results.

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